State-Dependent Divergences in the Entanglement Entropy
High Energy Physics - Theory
2017-07-25 v1 General Relativity and Quantum Cosmology
Abstract
We show the entanglement entropy in certain quantum field theories to contain state-dependent divergences. Both perturbative and holographic examples are exhibited. However, quantities such as the relative entropy and the generalized entropy of black holes remain finite, due to cancellation of divergences. We classify all possible state-dependent divergences that can appear in both perturbatively renormalizeable and holographic covariant quantum field theories.
Cite
@article{arxiv.1607.01246,
title = {State-Dependent Divergences in the Entanglement Entropy},
author = {Donald Marolf and Aron C. Wall},
journal= {arXiv preprint arXiv:1607.01246},
year = {2017}
}
Comments
20 pages, 1 figure